2260896 has 48 divisors (see below), whose sum is σ = 6477408. Its totient is φ = 684800.

The previous prime is 2260891. The next prime is 2260903. The reversal of 2260896 is 6980622.

2260896 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2260896² = 10223301445632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (2260891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15 + ... + 2126.

It is an arithmetic number, because the mean of its divisors is an integer number (134946).

2^2260896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2260896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3238704).

2260896 is an abundant number, since it is smaller than the sum of its proper divisors (4216512).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2260896 is a wasteful number, since it uses less digits than its factorization.

2260896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2165 (or 2157 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 2260896 is about 1503.6276134735. The cubic root of 2260896 is about 131.2482521309.

The spelling of 2260896 in words is "two million, two hundred sixty thousand, eight hundred ninety-six".